Materia quantistica ultrafredda : Rendiconti della Scuola internazionale di fisica "Enrico Fermi, " CXCI Corso ; Varenna sul Lago di Como, Villa Monastero, 7-15 Luglio 2014 / a cura di M. Inguscio, W. Ketterle e S. Stringari, direttori del corso, e di G. Roati = Quantum matter at ultralow temperatures : Proceedings of the International School of Physics "Enrico Fermi, " course 191 : Varenna on Lake Como, Villa Monastero, 7-15 July 2014 / edited by M. Inguscio, W. Ketterle and S. Stringari, director of the course, and G. Roati.

Includes bibliographical references.

Online resource; title from PDF title page (IOS, viewed November 18, 2016).

Machine generated contents note: 1. Magnetism and quantum physics / J. Dalibard -- 1.1. Gauge invariance / J. Dalibard -- 1.2. Cyclotron motion and Landau levels / J. Dalibard -- 1.3. Aharonov-Bohm effect / J. Dalibard -- 1.4. Rotating gases / J. Dalibard -- 2. Geometric phases and gauge fields for free atoms / J. Dalibard -- 2.1. Berry's phase / J. Dalibard -- 2.2. Adiabatic following of a dressed state / J. Dalibard -- 2.3. two-level case / J. Dalibard -- 2.4. Validity of the adiabatic approximation / J. Dalibard -- 2.5. Spontaneous emission and recoil heating / J. Dalibard -- 3. Non-Abelian potentials and spin-orbit coupling / J. Dalibard -- 3.1. Non-Abelian potentials in quantum optics / J. Dalibard -- 3.2. Tripod configuration and 2D spin-orbit coupling / J. Dalibard -- 3.3. 1D version of spin-orbit coupling / J. Dalibard -- 4. Gauge fields on a lattice / J. Dalibard -- 4.1. Tight-binding model / J. Dalibard -- 4.2. Hofstadter butterfly / J. Dalibard -- 4.3. Chern number for an energy band / J. Dalibard -- 5. Generation of lattice gauge fields via shaking or modulation / J. Dalibard -- 5.1. Rapid shaking of a lattice / J. Dalibard -- 5.2. Resonant shaking/modulation / J. Dalibard -- 6. Generation of lattice gauge fields via internal atomic transitions / J. Dalibard -- 6.1. Laser-assisted tunneling in a 1D ladder / J. Dalibard -- 6.2. Lattice with artificial dimension / J. Dalibard -- 6.3. Laser-induced tunneling in a 2D lattice / J. Dalibard -- 6.4. Optical flux lattices / J. Dalibard -- 7. Conclusion / J. Dalibard -- Appendix A. Landau levels / J. Dalibard -- Eigenstates with the Landau gauge / J. Dalibard -- Probability current in a Landau state / J. Dalibard -- Eigenstates with the symmetric gauge / J. Dalibard -- Appendix B. Topology in the square lattice / J. Dalibard -- Band structure and periodicity in reciprocal space / J. Dalibard -- Constant force and unitary transformation / J. Dalibard -- Bloch oscillations and adiabatic following / J. Dalibard -- velocity operator and its matrix elements / J. Dalibard -- Berry curvature / J. Dalibard -- Conduction from a filled band and Chern number / J. Dalibard -- Chern number is an integer / J. Dalibard -- 1. Feshbach resonances / W. Zwerger -- 1.1. Two-body scattering / W. Zwerger -- 1.2. Feshbach resonances / W. Zwerger -- 1.3. Three-body losses / W. Zwerger -- 1.4. Unitary bosons and the Efimov effect / W. Zwerger -- 2. Tan relations / W. Zwerger -- 2.1. Thermodynamic relations / W. Zwerger -- 2.2. Quantitative results for the contact / W. Zwerger -- 2.3. Closed-channel fraction / W. Zwerger -- 2.4. Single-channel model and zero-range limit / W. Zwerger -- 2.5. Short-distance correlations / W. Zwerger -- 3. Unitary fermions: universality and scale invariance / W. Zwerger -- 3.1. Quantum critical point and universality / W. Zwerger -- 3.2. Thermodynamics of the unitary Fermi gas / W. Zwerger -- 3.3. Luttinger-Ward theory / W. Zwerger -- 3.4. Scale invariance / W. Zwerger -- 3.5. Broken scale invariance and conformal anomaly in 2D / W. Zwerger -- 4. RF-spectroscopy and transport / W. Zwerger -- 4.1. RF-spectroscopy / W. Zwerger -- 4.2. Quantum limited viscosity and spin diffusion / W. Zwerger -- 1. Introduction / M.W. Zwierlein -- 2. Universal thermodynamics / M.W. Zwierlein -- 2.1. Thermodynamics of trapped gases / M.W. Zwierlein -- 2.1.1. Zero-temperature equation of state / M.W. Zwierlein -- 2.1.2. Viral theorem for the trapped gas at unitarity / M.W. Zwierlein -- 2-2. General thermodynamic relations / M.W. Zwierlein -- 2.2.1. Obtaining the pressure from density profiles / M.W. Zwierlein -- 2.2.2. "Magic formula" for harmonic trapping / M.W. Zwierlein -- 2.3. Universal thermodynamics of the unitary Fermi gas / M.W. Zwierlein -- 2.3.1. Compressibility equation of state / M.W. Zwierlein -- 2.3.2. Specific heat versus temperature-the Lambda transition in a gas / M.W. Zwierlein -- 2.3.3. Chemical potential, energy and free energy / M.W. Zwierlein -- 2.3.4. Entropy, density and pressure / M.W. Zwierlein -- 2.3.5. Importance of cross-validation with theory / M.W. Zwierlein -- 2.3.6. Further applications of the "fit-free" method / M.W. Zwierlein -- 2.4. Equation of state in the BEC-BCS crossover-The contact / M.W. Zwierlein -- 2.4.1. Energy of molecular Bose-Einstein condensates / M.W. Zwierlein -- 2.4.2. Energy of weakly interacting Fermi gas / M.W. Zwierlein -- 2.4.3. Near unitarity / M.W. Zwierlein -- 2.4.4. Pressure relation / M.W. Zwierlein -- 2.4.5. General Virial theorem / M.W. Zwierlein -- 2.5. Equation of state in the BEC-BCS crossover Experiments / M.W. Zwierlein -- 2.5.1. Equation of state from density profiles / M.W. Zwierlein -- 2.5.2. Momentum distribution / M.W. Zwierlein -- 2.5.3. Radiofrequency spectroscopy / M.W. Zwierlein -- 2.5.4. Photoassociation / M.W. Zwierlein -- 2.5.5. Bragg spectroscopy / M.W. Zwierlein -- 2.5.6. Temperature dependence of the homogeneous contact / M.W. Zwierlein -- 2.5.7. Collective oscillations / M.W. Zwierlein -- 2.5.8. Condensation energy / M.W. Zwierlein -- 2.6. normal state above Tc: Pseudo-gap phase, Fermi liquid, or Fermi gas? / M.W. Zwierlein -- 3. Fermionic superfluidity with spin imbalance / M.W. Zwierlein -- 3.1. Chandrasekhar-Clogston limit / M.W. Zwierlein -- 3.2. Phase separation / M.W. Zwierlein -- 3.3. Limit of high imbalance-the Fermi polaron / M.W. Zwierlein -- 3.4. Fermi liquid of polarons / M.W. Zwierlein -- 3.5. Thermodynamics of spin-imbalanced Fermi mixtures / M.W. Zwierlein -- 3.5.1. Equation of state at unitarity / M.W. Zwierlein -- 3.6. Prospects for observing the FFLO state / M.W. Zwierlein -- 4. Conclusion and perspectives / M.W. Zwierlein -- 1. Basic properties / G. Edward Marti / D.M. Stamper-Kurn -- 1.1. quantum fluids landscape / G. Edward Marti / D.M. Stamper-Kurn -- 1.2. Atomic species / G. Edward Marti / D.M. Stamper-Kurn -- 1.2.1. Alkali atoms / G. Edward Marti / D.M. Stamper-Kurn -- 1.2.2. High-spin atoms / G. Edward Marti / D.M. Stamper-Kurn -- 1.2.3. Stability against dipolar relaxation / G. Edward Marti / D.M. Stamper-Kurn -- 1.3. Rotationally symmetric interactions / G. Edward Marti / D.M. Stamper-Kurn -- 2. Magnetic order of spinor Bose-Einstein condensates / G. Edward Marti / D.M. Stamper-Kurn -- 2.1. Bose-Einstein magnetism in a non-interacting spinor gas / G. Edward Marti / D.M. Stamper-Kurn -- 2.2. Spin-dependent s-wave interactions in more recognizable form / G. Edward Marti / D.M. Stamper-Kurn -- 2.3. Ground states in the mean-field and single-mode approximations / G. Edward Marti / D.M. Stamper-Kurn -- 2.4. Mean-field ground states under applied magnetic fields / G. Edward Marti / D.M. Stamper-Kurn -- 2.5. Experimental evidence for magnetic order of ferromagnetic and anti-ferromagnetic F=1 spinor condensates / G. Edward Marti / D.M. Stamper-Kurn -- 2.6. Correlations in the exact many-body ground state of the F=1 spinor gas / G. Edward Marti / D.M. Stamper-Kurn -- 3. Imaging spinor condensates / G. Edward Marti / D.M. Stamper-Kurn -- 3.1. Stern-Gerlach imaging / G. Edward Marti / D.M. Stamper-Kurn -- 3.2. Dispersive birefringent imaging / G. Edward Marti / D.M. Stamper-Kurn -- 3.2.1. Circular birefringent imaging / G. Edward Marti / D.M. Stamper-Kurn -- 3.3. Projective imaging / G. Edward Marti / D.M. Stamper-Kurn -- 3.3.1. Absorptive spin-sensitive in situ imaging (ASSISI) / G. Edward Marti / D.M. Stamper-Kurn -- 3.3.2. Noise in dispersive imaging and ASSISI / G. Edward Marti / D.M. Stamper-Kurn -- 3.4. Spin-spin correlations and magnetic susceptibility / G. Edward Marti / D.M.

Stamper-Kurn -- 3.5. Multi-axis imaging and topological invariants / G. Edward Marti / D.M. Stamper-Kurn -- 3.5.1. Multi-axis imaging of ferromagnetic structures / G. Edward Marti / D.M. Stamper-Kurn -- 3.5.2. Magnetization curvature / G. Edward Marti / D.M. Stamper-Kurn -- 4. Spin dynamics / G. Edward Marti / D.M. Stamper-Kurn -- 4.1. Microscopic spin dynamics / G. Edward Marti / D.M. Stamper-Kurn -- 4.2. Mean-field picture of collective spin dynamics / G. Edward Marti / D.M. Stamper-Kurn -- 4.3. Spin-mixing instability / G. Edward Marti / D.M. Stamper-Kurn -- 4.3.1. Experiments in the single-mode regime / G. Edward Marti / D.M. Stamper-Kurn -- 4.3.2. Quantum quenches in spatially extended spinor Bose-Einstein condensates / G. Edward Marti / D.M. Stamper-Kurn -- 5. Magnetic excitations / G. Edward Marti / D.M. Stamper-Kurn -- 5.1. Quasiparticles of a spin-1 spinor condensate / G. Edward Marti / D.M. Stamper-Kurn -- 5.2. Linearized Schrodinger equation / G. Edward Marti / D.M. Stamper-Kurn -- 5.2.1. Ferromagnetic F=1 condensate / G. Edward Marti / D.M. Stamper-Kurn -- 5.2.2. Polar F=1 condensate / G. Edward Marti / D.M. Stamper-Kurn -- 5.3. Making and detecting magnons / G. Edward Marti / D.M. Stamper-Kurn -- 5.4. Magnon propagation / G. Edward Marti / D.M. Stamper-Kurn -- 5.5. Magnon contrast interferometry and recoil frequency / G. Edward Marti / D.M. Stamper-Kurn -- 6. Conclusion / G. Edward Marti / D.M. Stamper-Kurn -- 1. Introduction / I. Bloch -- 2. Bose and Fermi Hubbard models / I. Bloch -- 2.1. Bose-Hubbard model / I. Bloch -- 2.2. Fermi-Hubbard model / I. Bloch -- 3. Quantum magnetism with ultracold atoms in optical lattices / I. Bloch -- 3.1. Superexchange spin interactions / I. Bloch -- 3.1.1. Superexchange interactions in a double well / I. Bloch.

Note continued: 3.1.2. Superexchange interactions on a lattice / I. Bloch -- 3.2. Resonating valence bond states in a plaquette / I. Bloch -- 4. Site-resolved imaging / I. Bloch -- 5. Thermometry at the limit of individual thermal excitations / I. Bloch -- 6. Single-site-resolved addressing of individual atoms / I. Bloch -- 7. Quantum gas microscopy-new possibilities for cold quantum gases / I. Bloch -- 7.1. Using quantum gas microscopes to probe quantum magnetism / I. Bloch -- 7.2. Long-range-interacting quantum magnets / I. Bloch -- 8. Outlook / I. Bloch -- 1. Introduction / F. Grusdt / E. Demler -- 2. Derivation of the Frohlich Hamiltonian / F. Grusdt / E. Demler -- 2.1. Microscopic Hamiltonian: Impurity in a BEC / F. Grusdt / E. Demler -- 2.2. Frohlich Hamiltonian in a BEC / F. Grusdt / E. Demler -- 2.3. Microscopic derivation of the Frohlich model / F. Grusdt / E. Demler -- 2.4. Characteristic scales and the polaronic coupling constant / E. Demler / F. Grusdt -- 2.5. Lippmann-Schwinger equation / F. Grusdt / E. Demler -- 3. Overview of common theoretical approaches / F. Grusdt / E. Demler -- 3.1. Perturbative approaches s / F. Grusdt / E. Demler -- 3.1.1. Rayleigh-Schrodinger perturbation theory / F. Grusdt / E. Demler -- 3.1.2. Green's function perturbation theory and self-consistent Born / F. Grusdt / E. Demler -- 3.2. Exact solution for infinite mass / F. Grusdt / E. Demler -- 3.3. Lee-Low-Pines treatment / F. Grusdt / E. Demler -- 3.4. Weak coupling mean-field theory / F. Grusdt / E. Demler -- 3.4.1. Self-consistency equation / F. Grusdt / E. Demler -- 3.4.2. Polaron energy / F. Grusdt / E. Demler -- 3.4.3. Polaron mass / F. Grusdt / E. Demler -- 3.5. Strong coupling Landau-Pekar approach / F. Grusdt / E. Demler -- 3.5.1. Polaron energy / F. Grusdt / E. Demler -- 3.5.2. Polaron mass / F. Grusdt / E. Demler -- 3.6. Feynman path integral approach / F. Grusdt / E. Demler -- 3.6.1. Jensen-Feynman variational principle / F. Grusdt / E. Demler -- 3.6.2. Feynman's trial action / F. Grusdt / E. Demler -- 3.6.3. Polaron mass / F. Grusdt / E. Demler -- 3.7. Monte Carlo approaches / F. Grusdt / E. Demler -- 4. Renormalization group approach>> / F. Grusdt / E. Demler -- 4.1. Frohlich model and renormalized coupling constants / F. Grusdt / E. Demler -- 4.2. Renormalization group formalism for the Frohlich model / F. Grusdt / E. Demler -- 4.2.1. Dimensional analysis / F. Grusdt / E. Demler -- 4.2.2. Formulation of the RG / F. Grusdt / E. Demler -- 4.2.3. RG flow equations / F. Grusdt / E. Demler -- 4.2.4. Solutions of RG flow equations / F. Grusdt / E. Demler -- 4.3. Polaron ground state energy in the renormalization group approach / F. Grusdt / E. Demler -- 4.3.1. Logarithmic UV divergence of the polaron energy / F. Grusdt / E. Demler -- 4.4. Ground state polaron properties from RG / F. Grusdt / E. Demler -- 4.4.1. Polaron mass / F. Grusdt / E. Demler -- 4.4.2. Phonon number / F. Grusdt / E. Demler -- 4.4.3. Quasiparticle weight / F. Grusdt / E. Demler -- 4.5. Gaussian variational approach / F. Grusdt / E. Demler -- 5. UV regularization and log-divergence / E. Demler / F. Grusdt -- 5.1. Regularization of the power-law divergence / E. Demler / F. Grusdt -- 5.2. Explanation of the logarithmic divergence / E. Demler / F. Grusdt -- 6. Results for experimentally relevant parameters / E. Demler / F. Grusdt -- 6.1. Experimental considerations / E. Demler / F. Grusdt -- 6.1.1. Conditions for the Frohlich model / E. Demler / F. Grusdt -- 6.1.2. Experimentally achievable coupling strengths / E. Demler / F. Grusdt -- 6.2. RF spectroscopy / E. Demler / F. Grusdt -- 6.2.1. Basic theory of RF spectroscopy / E. Demler / F. Grusdt -- 6.2.2. Basic properties of RF spectra / E. Demler / F. Grusdt -- 6.3. Properties of polarons / E. Demler / F. Grusdt -- 6.3.1. Polaronic mass / E. Demler / F. Grusdt -- 6.3.2. Phonon number / E. Demler / F. Grusdt -- 6.3.3. Quasiparticle weight / E. Demler / F. Grusdt -- 7. Example of a dynamical problem: Bloch oscillations of Bose polarons / E. Demler / F. Grusdt -- 7.1. Time-dependent mean-field approach / E. Demler / F. Grusdt -- 7.1.1. Equations of motion-Dirac's time-dependent variational principle / E. Demler / F. Grusdt -- 7.2. Bloch oscillations of polarons in lattices / E. Demler / F. Grusdt -- 7.2.1. Model / E. Demler / F. Grusdt -- 7.2.2. Time-dependent mean-field description / E. Demler / F. Grusdt -- 7.2.3. Adiabatic approximation and polaron dynamics / E. Demler / F. Grusdt -- 7.2.4. Polaron transport properties / E. Demler / F. Grusdt -- 8. Outlook / E. Demler / F. Grusdt -- Appendix A / E. Demler / F. Grusdt -- A.1. Lee-Low-Pines formalism in a lattice / E. Demler / F. Grusdt -- A.1.1. Coupling constant and relation to experiments / E. Demler / F. Grusdt -- A.1.2. Time-dependent Lee-Low-Pines transformation in the lattice / E. Demler / F. Grusdt -- A.2. Renormalized impurity mass / E. Demler / F. Grusdt -- A.3. Polaron properties from the RG-derivations / E. Demler / F. Grusdt -- A.3.1. Polaron phonon number / E. Demler / F. Grusdt -- A.3.2. Polaron momentum / E. Demler / F. Grusdt -- A.3.3. Quasiparticle weight / E. Demler / F. Grusdt -- 1. Introduction / T. Giamarchi -- 2. Why one dimension / T. Giamarchi -- 3. 1D basics / T. Giamarchi -- 3.1. What are one-dimensional systems? / T. Giamarchi -- 3.2. Some realizations with cold atoms or CM / T. Giamarchi -- 3.3. Universal physics in one dimension (Luttinger liquid) / T. Giamarchi -- 3.4. Fermions and spins / T. Giamarchi -- 3.5. Luttinger parameters / T. Giamarchi -- 4. Experimental tests of TLL / T. Giamarchi -- 4.1. Magnetic insulators / T. Giamarchi -- 4.2. Cold atomic systems / T. Giamarchi -- 4.3. Other experimental features of 1d: Fractionalization of excitations / T. Giamarchi -- 5. TLL and beyond / T. Giamarchi -- 5.1. Effect of a lattice: Mott transition / T. Giamarchi -- 5.2. Disorder / T. Giamarchi -- 6. Wishes and open problems / T. Giamarchi -- 1. Introduction / T. Pfau / J. Balewski -- 2. Electron-atom scattering / T. Pfau / J. Balewski -- 2.1. Fermi pseudopotential / T. Pfau / J. Balewski -- 2.2. Higher-order contributions / T. Pfau / J. Balewski -- 3. Rydberg spectroscopy / T. Pfau / J. Balewski -- 3.1. Ultracold but thermal gases / T. Pfau / J. Balewski -- 3.2. Bose-Einstein condensates / T. Pfau / J. Balewski -- 4. Lifetime of Rydberg atoms in dense gases / T. Pfau / J. Balewski -- 4.1. Dependence on principal quantum number and density / T. Pfau / J. Balewski -- 4.2. Possible decay processes / T. Pfau / J. Balewski -- 4.3. Dependence on spectral position / T. Pfau / J. Balewski -- 5. Conclusion / T. Pfau / J. Balewski -- 1. Introduction / A. Recati -- 2. Model / A. Recati -- 3. Mean-field Gross-Pitaevskii equations / A. Recati -- 3.1. Ground state / A. Recati -- 4. Excitation spectra / A. Recati -- 4.0. Spin structure factor and magnetic fluctuations / A. Recati -- 4.1. Trapped gas / A. Recati -- 4.2. Relation to Josephson dynamics / A. Recati -- 5. Soliton and vortex dimers / A. Recati -- 6. Tight-binding model for gases in optical lattices / A. Recati -- 1. Motivation / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 2. One-dimensional Bose gases / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 3. Creating a non-equilibrium state / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 4. Probing the quantum state / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 4.1. Density ripples / B. Rauer / J. Schmiedmayer / T. Langen / T.

Schweigler -- 4.2. Phase correlation functions / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 4.3. Full distribution functions / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 5. Generalized Gibbs ensemble / B. Rauer / T. Schweigler / T. Langen / J. Schmiedmayer -- 6. Dynamics beyond prethermalization / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 6.1. Recurrences / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 6.2. Imbalanced splitting / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 7. Application: Interferometry with squeezed states / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 8. Conclusion / B. Rauer / J. Schmiedmayer / T. Langen / T. Schweigler -- 1. Introduction / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 2. Crash course on entanglement / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 2.1. Bipartite pure states: Schmidt decomposition / A. Acin / M. Lewen-Stein / R. Agusiak / A.B. Sainz / T. Grass / J. Tura -- 2.2. Bipartite mixed states: Separable and entangled states / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 2.3. Entanglement criteria / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 2.4. Entanglement measures / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 2.5. von Neumann entropy / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 3. Entanglement in many-body systems / J. Tura / A.B. Sainz / M. Lewen-Stein / R. Agusiak / A. Acin / T. Grass -- 3.1. Computational complexity / J. Tura / A.B. Sainz / T. Grass / R. Agusiak / A. Acin / M. Lewen-Stein.

Note continued: 3.2. Entanglement of a generic state / A. Acin / R. Agusiak / T. Grass / J. Tura / A.B. Sainz / M. Lewen-Stein -- 4. Area laws / A. Acin / R. Agusiak / T. Grass / A.B. Sainz / J. Tura / M. Lewen-Stein -- 4.1. Quantum area laws in 1D / J. Tura / A.B. Sainz / T. Grass / R. Agusiak / A. Acin / M. Lewen-Stein -- 4.2. Higher-dimensional systems / J. Tura / A.B. Sainz / T. Grass / R. Agusiak / A. Acin / M. Lewen-Stein -- 4.2.1. Area laws for mutual information-classical and quantum Gibbs states / A.B. Sainz / J. Tura / T. Grass / M. Lewen-Stein / A. Acin / R. Agusiak -- 4.3. world according to tensor networks / A. Acin / R. Agusiak / T. Grass / A.B. Sainz / J. Tura / M. Lewen-Stein -- 5. Non-locality in many-body systems / A. Acin / R. Agusiak / T. Grass / A.B. Sainz / J. Tura / M. Lewen-Stein -- 5.1. Probabilities and correlations-DIQIP approach / J. Tura / A.B. Sainz / T. Grass / R. Agusiak / A. Acin / M. Lewen-Stein -- 5.2. Detecting non-locality in many-body systems with two-body correlators / J. Tura / A.B. Sainz / A. Acin / R. Agusiak / T. Grass / M. Lewen-Stein -- 5.3. Permutational invariance / R. Agusiak / A. Acin / M. Lewen-Stein / J. Tura / A.B. Sainz / T. Grass -- 5.4. Symmetric two-body Bell inequalities: example / A.B. Sainz / J. Tura / T. Grass / R. Agusiak / A. Acin / M. Lewen-Stein -- 5.5. Many-body symmetric states / A.B. Sainz / J. Tura / T. Grass / M. Lewen-Stein / A. Acin / R. Agusiak -- 6. Conclusions / J. Tura / A.B. Sainz / A. Acin / R. Agusiak / T. Grass / M. Lewen-Stein -- 1. Introduction / M.A. Baranov -- 2. Exchange and statistics / M.A. Baranov -- 2.1. Braid group, representations, and exchange statistics / M.A. Baranov -- 2.2. Physical requirements for non-Abelian anyons / M.A. Baranov -- 3. Majorana fermions as non-Abelian anyons / M.A. Baranov -- 4. Majorana fermions in Kitaev wire / M.A. Baranov -- 5. Majorana fermions in systems of cold atoms / M.A. Baranov -- 5.1. Braiding Majorana fermions in wires setup / M.A. Baranov -- 5.2. Physics behind the braiding / M.A. Baranov -- 5.3. Demonstration of non-Abelian statistics / M.A. Baranov -- 6. Using Majorana fermions for quantum computation / M.A. Baranov -- 7. Summary / M.A. Baranov.

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